Given numbers are 720,486,900,690

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 720,486,900,690 is 2235600.

Find LCM of 720,486,900,690 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 5 x 4 x 27 x 5 x 23 = 2235600

Therefore, the lowest common multiple of 720,486,900,690 is 2235600.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

720 x 486 x 900 x 690 = 217300320000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,486,900,690, is 6.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

486:2x 3x 3x 3x 3x 3

900:2x 2x 3x 3x 5x 5

690:2x 3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 217300320000/(6x16200)

LCM = 217300320000/97200

LCM = 2235600

Thus, we can understand that the LCM of 720,486,900,690 is 2235600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 572, 538, 153, 448
• LCM of 207, 598, 937, 268
• LCM of 523, 697, 102, 443
• LCM of 998, 912, 325, 706
• LCM of 417, 469, 915, 594

1. What is the LCM of 720, 486, 900, 690?

Answer: LCM of 720, 486, 900, 690 is 2235600.

2. How to calculate the LCM of 720, 486, 900, 690?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 720, 486, 900, 690.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.